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2958282 = 2362029
BaseRepresentation
bin1011010010001111001010
312120022000000
423102033022
51224131112
6143223430
734100505
oct13221712
95508000
102958282
111740668
12ba7b76
137c7682
1457013c
153d67dc
hex2d23ca

2958282 has 28 divisors (see below), whose sum is σ = 6656370. Its totient is φ = 985608.

The previous prime is 2958269. The next prime is 2958311. The reversal of 2958282 is 2828592.

2958282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1610361 + 1347921 = 1269^2 + 1161^2 .

It is a d-powerful number, because it can be written as 24 + 95 + 56 + 8 + 219 + 86 + 221 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 444 + ... + 2472.

22958282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2958282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328185).

2958282 is an abundant number, since it is smaller than the sum of its proper divisors (3698088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2958282 is an equidigital number, since it uses as much as digits as its factorization.

2958282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2034 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2958282 is about 1719.9656973324. The cubic root of 2958282 is about 143.5533032524.

It can be divided in two parts, 2958 and 282, that added together give a triangular number (3240 = T80).

The spelling of 2958282 in words is "two million, nine hundred fifty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2029 4058 6087 12174 18261 36522 54783 109566 164349 328698 493047 986094 1479141 2958282